This　paper　studies　the　cooperative　control　problem　for　a　mixed　vehicle　platoon　composed　of　connected　autonomous　vehicles　(CAVs)　and　human-driven　vehicles　(HDVs)　running　on　curved　roads.　Firstly,　we　propose　a　distributed　model　predictive　control　(DMPC)　algorithm　for　each　following　CAV　in　the　platoon　to　maintain　a　constant　speed　and　a　constant　inter-vehicle　travelling　path　length　along　the　curved　road,　where　delayed　trajectories　of　preceding　vehicles　are　utilized　as　the　reference.　Considering　the　fact　that　HDVs　in　the　platoon　are　inevitably　subject　to　uncertainty　due　to　drivers＇　behaviors,　simply　following　the　preceding　HDV＇s　trajectory　may　lead　to　undesirable　behaviors,　and　hence　we　introduce　a　trajectory　correction　mechanism　based　on　centerline　of　the　path　to　correct　the　vehicle　trajectory　reference　in　the　DMPC　algorithm.　This　enables　the　closed-loop　mixed　vehicle　platoon　control　system　to　achieve　the　desired　inter-vehicle　traveling　path　length　and　desired　speed　on　curved　roads.　Finally,　numerical　simulation　results　are　presented　to　validate　the　effectiveness　of　the　proposed　DMPC　algorithm　for　the　mixed　vehicle　platoon.　©　2024　IEEE.